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Finding the Fourth Proportional to 381,690.80, 572,536.20 and 213,729.20

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Solution

The fourth proportional to 381,690.80, 572,536.20 and 213,729.20 is: 320,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,690.80 : 572,536.20 = 213,729.20 : x
  2. Step 2: Convert to fraction form
    381,690.80/572,536.20 = 213,729.20/x
  3. Step 3: Cross multiply
    381,690.80x = 572,536.20 × 213,729.20
  4. Step 4: Simplify right side
    381,690.80x = 122,367,703,997.04
  5. Step 5: Solve for x
    x = 122,367,703,997.04/381,690.80
  6. Step 6: Final answer
    x = 320,593.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.